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Finding the Third Proportional to 783,682.30 and 1,103,607.93

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Solution

The third proportional to 783,682.30 and 1,103,607.93 is: 1,554,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,682.30 : 1,103,607.93 = 1,103,607.93 : x
  2. Step 2: Convert to fraction form
    783,682.30/1,103,607.93 = 1,103,607.93/x
  3. Step 3: Cross multiply
    783,682.30x = 1,103,607.93 × 1,103,607.93
  4. Step 4: Simplify right side
    783,682.30x = 1,217,950,471,629.96
  5. Step 5: Solve for x
    x = 1,217,950,471,629.96/783,682.30
  6. Step 6: Final answer
    x = 1,554,138.04

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.